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Finding the Third Proportional to 457,504 and 694,032

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Solution

The third proportional to 457,504 and 694,032 is: 1,052,844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,504 : 694,032 = 694,032 : x
  2. Step 2: Convert to fraction form
    457,504/694,032 = 694,032/x
  3. Step 3: Cross multiply
    457,504x = 694,032 × 694,032
  4. Step 4: Simplify right side
    457,504x = 481,680,417,024
  5. Step 5: Solve for x
    x = 481,680,417,024/457,504
  6. Step 6: Final answer
    x = 1,052,844.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.